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- Title
Existence of solutions in the α-norm for partial functional differential equations with infinite delay.
- Authors
EZZINBI, Khalil; REBEY, Amor
- Abstract
In this work, we prove a result on the local existence of mild solution in the α-norm for some partial functional differential equations with infinite delay. We suppose that the linear part generates a compact analytic semigroup. The nonlinear part is just assumed to be continuous. We use the compactness method, to show the main result of this work. Some application is provided.
- Subjects
EXISTENCE theorems; NUMERICAL solutions to partial differential equations; NUMERICAL solutions to functional differential equations; INFINITY (Mathematics); MATHEMATICAL proofs; COMPACT spaces (Topology); CONTINUOUS functions
- Publication
Electronic Journal of Qualitative Theory of Differential Equations, 2012, Issue 50-74, p1
- ISSN
1417-3875
- Publication type
Article
- DOI
10.14232/ejqtde.2012.1.59